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A test (typically of distribution, independence, or goodness of fit), for the family of distributions use [chi-squared-distribution].

11 votes
2 answers
9k views

Why not always use a binomial exact test to compare two proportions instead of chi square?

I am trying to figure out what test I should use in the following scenario: I know that there is a lot of room for improvement in a specific area at work - being extremely critical, let's say that sam …
22 votes
1 answer
5k views

At What Level is a $\chi^2$ test Mathematically Identical to a $z$-test of Proportions?

BACKGROUND: Skip safely - it's here for reference, and to legitimize the question. The opening of this paper reads: "Karl Pearson’s famous chi-square contingency test is derived from another statist …
3 votes
1 answer
432 views

Proof MLE expected cell frequencies in chi-square test of homogeneity - the last step

The problem is from John A. Rice "Mathematical Statistics and Data Analysis" proof that in determining the estimate value for a given cell in a test of homogeneity the MLE is what our intuition would …